Holbrook Mann MacNeille
– September 30
) was an American mathematician
who worked for the United States Atomic Energy Commission
before becoming the first Executive Director of the American Mathematical Society
MacNeille was born May 11
in New York City
and was raised in Summit, New Jersey
, the first of two brothers. His father was Perry Robinson MacNeille
, an architect and urban planner and his mother Clausine Mann MacNeille
who was active on the Summit Board of Education. His aunt was the Jungian
analyst Kristine Mann
MacNeille went to the Summit Public Schools and summered in Bailey Island, Maine. At Bailey Island he became acquainted with Frank Aydelotte who encouraged him to go to Swarthmore College from which he graduated with highest honors in 1928. Following in Aydelotte's footsteps he was a Rhodes Scholar at Balliol College, Oxford, England 1928–1930 receiving a B.A. in 1930 and an M.A. in 1947. He received a Ph.D. in Mathematics from Harvard University in 1935 where he was the first student of Marshall Harvey Stone, was a Sterling Fellow at Yale University in New Haven, Connecticut 1935–1936 and a Benjamin Peirce Instructor at Harvard between 1936–1938. During the summers he was also a partner in the Dave Richardson Laboratories in Bailey Island, Maine, which produced dogfish prepared for dissection at school laboratories.
MacNeille's Ph.D work resulted in the MacNeille completion theorem (see Dedekind cut), a generalization of Richard Dedekind's construction of real numbers from the ordered set of rationals.
Upon completing his studies, he taught mathematics at Kenyon College in Gambier, Ohio as an associate professor (1938–1941), full professor (1941–1947) and chairman of the department (1945–1947).
World War II
During several of the years at Kenyon College
he was on leave as Scientific Liaison Officer (1944–1945) and Head of Mission (1945–1946) London Mission
of the Office of Scientific Research and Development
, American Embassy in London
, England. During (1946–1948) he was Scientific Director of the London Branch Office of the U.S. Office of Naval Research
and then during (1948–1949) spent more than a year as chief of the fundamental research branch of the Atomic Energy Commission
in Washington, D.C
. In 1948 he received the President's Certificate of Merit
from President Harry S. Truman
After World War II
In November 1949 he became executive director of the American Mathematical Society
where he served until 1954. From 1954-1961 he was professor and chairman of the Department of Mathematics at Washington University
in St. Louis, Missouri
, and then from 1961 professor and chairman of the Department of Mathematics at Case Western Reserve University
until his death.
During this latter period he became interested in teaching, and directed several educational movies as part of the Calculus Film Project of the Educational Media Committee of the Mathematical Association of America.
- "Area under a curve"
- "The definite integral"
- "Volume of a solid of revolution"
- "Infinite acres"
- "Volume of a solid of a revolution"
- "Volume by shells"
- "Theorem of the Mean Policeman"
Awards and other positions
- H. M. MacNeille, Extensions of Partially Ordered Sets, Proceedings of the National Academy of Science, Vol. 22, 1936
- H. M. MacNeille, Partially Ordered Sets, Transactions of the American Mathematical Society, Vol. 42, No. 3 (Nov., 1937) , pp. 416-460
- H. M. MacNeille, Extensions of Measure, Proceedings of the National Academy of Science, Vol 24, 1938
- H. M. MacNeille, Extensions of Measure, Proceedings of the National Academy of Sciences of the United States of America, Vol. 24, No. 4 (Apr. 15, 1938) , pp. 188-193
- H. M. MacNeille, Lattices and Boolean Rings, Bull. AMS, 1939
- H. M. MacNeille, Extension of a distributive lattice to a Boolean ring, Bull. Amer. Math. Soc, 1939
- H. M. MacNeille, A Unified Theory of Integration, Proceedings of the National Academy of Sciences, Vol. 27, 1941
- P.T. Johnstone, Stone Spaces, Cambridge University Press, (August 14, 1986), ISBN 0-521-33779-8
- Everett Pitcher, A History of the Second Fifty Years, American Mathematical Society 1939-1988, American Mathematical Society, 1997, (Page 251), ISBN 0-8218-0125-2
- Who was who in America, Marquis Who's Who, Volume VI, 1974-1976 (Chicago, 1976), ISBN 0-8379-0207-X